The generator matrix

 1  0  0  0  1  1  1  2  8  1  1  0  1  6  1 12  1  0  1  1  1  2  0  1 12  1 10  6  1  2  1  8  1  1  4  6 12  1  1  8 10  1 12  6  1  1 10 12  1  1 14  8  1  1  2  1  1  1  1  1  1  1 14  1  1  0  1  1 14  1  2  1
 0  1  0  0  8 13  5  1  1  4  0 12  3  1  5  1 15 10 10 14  9  1  1  5  6 14 12  1  1  2 10  1  3 15  1  1  1  5  7 12  4  2  1  1  3  9  1  2 12 14  4  1  2  4  1 13  4 15  4  1  2  8  6  3 13 12 11  6  4 13  2  4
 0  0  1  0 12  8  4 12  1 15 15  1  9 15  1  8  7 14  7  4 10 14  7  2  1 11  1  3  1  1  6  2 13 14 12  6 13  6  1  1 10 13  3 13  3 14 15  1  0  8  1  8  4  8  0 11 13  4  2  7 12 14  1 10  3 10  6  9  1  5 12  4
 0  0  0  1  7 15  8 13  5  3  2  9  9  4 12  5  8  1 14  6 10 10  4  1 11  5  0  5  7  1  1 15  2  2  6  1  2  3 11  7  1  6 11  5 10 12  7  0  5  4 15  3  5  0  2  6  8 14 10  1  3  3  6  0  0  1  9 13 11 10  1  8

generates a code of length 72 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+192x^65+1454x^66+2640x^67+4346x^68+5420x^69+7242x^70+7512x^71+8469x^72+7248x^73+7472x^74+5416x^75+3869x^76+2084x^77+1294x^78+488x^79+227x^80+88x^81+26x^82+8x^83+23x^84+8x^85+8x^86+1x^88

The gray image is a code over GF(2) with n=576, k=16 and d=260.
This code was found by Heurico 1.16 in 44.1 seconds.